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Simplifying 2(3x + 4) = 5x + 30 + 12x Reorder the terms: 2(4 + 3x) = 5x + 30 + 12x (4 * 2 + 3x * 2) = 5x + 30 + 12x (8 + 6x) = 5x + 30 + 12x Reorder the terms: 8 + 6x = 30 + 5x + 12x Combine like terms: 5x + 12x = 17x 8 + 6x = 30 + 17x Solving 8 + 6x = 30 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 8 + 6x + -17x = 30 + 17x + -17x Combine like terms: 6x + -17x = -11x 8 + -11x = 30 + 17x + -17x Combine like terms: 17x + -17x = 0 8 + -11x = 30 + 0 8 + -11x = 30 Add '-8' to each side of the equation. 8 + -8 + -11x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 30 + -8 -11x = 30 + -8 Combine like terms: 30 + -8 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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